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12021331040 = 255174619587
BaseRepresentation
bin10110011001000011…
…01111010001100000
31011000210020220000222
423030201233101200
5144104430043130
65304510502212
7603620425235
oct131441572140
934023226028
1012021331040
115109800a34
1223b5b04968
1311976c2a44
148207b178c
154a5585ce5
hex2cc86f460

12021331040 has 96 divisors (see below), whose sum is σ = 30139379424. Its totient is φ = 4515389440.

The previous prime is 12021331031. The next prime is 12021331067. The reversal of 12021331040 is 4013312021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249127 + ... + 1258713.

It is an arithmetic number, because the mean of its divisors is an integer number (313951869).

Almost surely, 212021331040 is an apocalyptic number.

12021331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069689712).

12021331040 is an abundant number, since it is smaller than the sum of its proper divisors (18118048384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12021331040 is a wasteful number, since it uses less digits than its factorization.

12021331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12021331040 its reverse (4013312021), we get a palindrome (16034643061).

The spelling of 12021331040 in words is "twelve billion, twenty-one million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 461 544 680 922 1360 1844 2305 2720 3688 4610 7376 7837 9220 9587 14752 15674 18440 19174 31348 36880 38348 39185 47935 62696 73760 76696 78370 95870 125392 153392 156740 162979 191740 250784 306784 313480 325958 383480 626960 651916 766960 814895 1253920 1303832 1533920 1629790 2607664 3259580 4419607 5215328 6519160 8839214 13038320 17678428 22098035 26076640 35356856 44196070 70713712 75133319 88392140 141427424 150266638 176784280 300533276 353568560 375666595 601066552 707137120 751333190 1202133104 1502666380 2404266208 3005332760 6010665520 12021331040